In this paper, a self starting two step continuous block hybrid formulae (CBHF) with four Off-step points is developed using collocation and interpolation procedures. The CBHF is then used to produce multiple numerical integrators which are of uniform order and are assembled into a single block matrix equation. These equations are simultaneously applied to provide the approximate solution for t...

Many routine laboratories have adopted ICP-MS as their primary technique for metals analysis due to its simple operation as a multi-element analyzer. However, despite its higher performance for the targeted removal of specific interferences, collision/reaction cell (CRC) ICP-MS remains relatively understudied in terms of its multielement capability. This work demonstrates that the Agilent 7500c...

qareh qeshlaq marble quarry as one of the valuable resources of ornamental stones in west azarbaijan province formed through thermal carbonate springs while its mineral deposit thickness is limited in comparison with surface extension. in the present research, geological and blocky modeling of the marble deposit was carried out in order to develop a production planning for this quarry, identify...

This research investigates the implementation mechanism of block-wise ILU(k) preconditioner on GPU. The block-wise ILU(k) algorithm requires both the level k and the block size to be designed as variables. A decoupled ILU(k) algorithm consists of a symbolic phase and a factorization phase. In the symbolic phase, a ILU(k) nonzero pattern is established from the point-wise structure extracted fro...

We reinvestigate the validity of mapping the problem of two onsite interacting particles in a random potential onto an eeective random matrix model. To this end we rst study numerically how the non-interacting basis is coupled by the interaction. Our results indicate that the typical coupling matrix element decreases signiicantly faster with increasing single-particle localization length than i...

Run-time support for the CYCLIC(k) redistribution on the SPMD computation model is presently very relevant for the scientific community. This work is focused to the characterization of the sparse matrix redistribution and its associate problematic due to the use of compressed representations. Two main improvements about the buffering and the coordinates calculation modify the original algorithm...

In this paper, the numerical technique based on hybrid Bernoulli and Block-Pulse functions has been developed to approximate the solution of system of linear Volterra integral equations. System of Volterra integral equations arose in many physical problems such as elastodynamic, quasi-static visco-elasticity and magneto-electro-elastic dynamic problems. These functions are formed by the hybridi...

A set of new formulae for the inverse of a block Hankel (or block Toeplitz) matrix is given. The formulae are expressed in terms of certain matrix Pad6 forms, which approximate a matrix power series associated with the block Hankel matrix. By using Frobenius-type identities between certain matrix Pad6 forms, the inversion formulae are shown to generalize the formulae of Gohberg-Heinig and, in t...